20859408000 has 384 divisors, whose sum is σ = 79327207440. Its totient is φ = 5234688000.

The previous prime is 20859407993. The next prime is 20859408029. The reversal of 20859408000 is 80495802.

It can be written as a sum of positive squares in 8 ways, for example, as 2059707456 + 18799700544 = 45384^2 + 137112^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20859408000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2443740 + ... + 2452260.

Almost surely, 2^20859408000 is an apocalyptic number.

20859408000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20859408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39663603720).

20859408000 is an abundant number, since it is smaller than the sum of its proper divisors (58467799440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20859408000 is a wasteful number, since it uses less digits than its factorization.

20859408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8548 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 20859408000 in words is "twenty billion, eight hundred fifty-nine million, four hundred eight thousand".